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Finding the Fourth Proportional to 229.39, 342.42 and 212.25

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Solution

The fourth proportional to 229.39, 342.42 and 212.25 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.39 : 342.42 = 212.25 : x
  2. Step 2: Convert to fraction form
    229.39/342.42 = 212.25/x
  3. Step 3: Cross multiply
    229.39x = 342.42 × 212.25
  4. Step 4: Simplify right side
    229.39x = 72,678.65
  5. Step 5: Solve for x
    x = 72,678.65/229.39
  6. Step 6: Final answer
    x = 316.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.